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Finding the Fourth Proportional to 287,541.18, 431,503.74 and 100,552.68

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Solution

The fourth proportional to 287,541.18, 431,503.74 and 100,552.68 is: 150,896.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,541.18 : 431,503.74 = 100,552.68 : x
  2. Step 2: Convert to fraction form
    287,541.18/431,503.74 = 100,552.68/x
  3. Step 3: Cross multiply
    287,541.18x = 431,503.74 × 100,552.68
  4. Step 4: Simplify right side
    287,541.18x = 43,388,857,487.02
  5. Step 5: Solve for x
    x = 43,388,857,487.02/287,541.18
  6. Step 6: Final answer
    x = 150,896.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.